| CONVERGENCE OF AN ITERATION METHOD WITHOUT DERIVATIVE |
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| 作者姓名： | 徐良藏 宓湘江 |
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| 作者单位： | Department of Mathematics, XiXi Campus, Zhejiang University,Hangzhou 310028
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| 摘 要： | In this paper, we give a convergence theorem and error estimates for an iteration method under new Kantorovitch-Ostrowski type condition using the information of higher derivatives at initial points. Compared with the corresponding study in 3],the convergence determination is established under one global condition, instead of two , on the function.
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CONVERGENCE OF AN ITERATION METHOD WITHOUT DERIVATIVE |
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| Xu Liangzang,Mi Xiangjiang.CONVERGENCE OF AN ITERATION METHOD WITHOUT DERIVATIVE[J].Numerical Mathematics A Journal of Chinese Universities English Series,2002,11(1):113-120. |
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| Authors: | Xu Liangzang Mi Xiangjiang |
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| Institution: | Department of Mathematics, XiXi Campus, Zhejiang University,Hangzhou 310028 |
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| Abstract: | In this paper, we give a convergence theorem and error estimates for an iteration method under new Kantorovitch-Ostrowski type condition using the information of higher derivatives at initial points. Compared with the corresponding study in 3],the convergence determination is established under one global condition, instead of two, on the function. |
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| Keywords: | majorizing function convergence theorem error estimates |
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